We know that
Inverse Variation is a relationship between two variables in which the product is a constant
so
let
x------> a pitch of a musical instrument
y------> the wavelength
x*y=k

find the value of k

for x=220 hertz y=3 ft
x*y=k
220*3=k
k=660

for x=165 hertz y=4 ft
x*y=k
165*4=660
k=660

the answer part a) is
the type of variation between pitch and wavelength is an inverse variation

part b) What is the pitch when the wavelength is 5 feet?
x=?
y=5 ft
k=660
x*y=k------> solve for x
x=k/y----------> x=660/5-----> x=132 hertz

the answer Part b) is
132 hertz

4 0

2 years ago

Which of the following numbers is both a perfect square and a perfect cube?

Marat540 [252]

Answer:

531441

Step-by-step explanation:

We can find by factorization

531441 = 9 * 9 * 9 * 9 * 9 *9 = (9*9*9) * (9*9*9)

$\sqrt[3]{531441}=\sqrt[3]{9*9*9*9*9*9} =9*9 = 81\\\\\\\sqrt{531441}=\sqrt{(9*9)*(9*9)*(9*9)}=9*9*9=729$